BOUNKHEL, Messaoud    TADJ, Lotfi. Optimal design of a bulk service queue. []. , 27, 2, pp.131-138. ISSN 0874-5161.

This paper uses a control-theoretic approach, the so-called predictive control, for the optimal design of a single-server, finite capacity, bulk-service queueing system. The problem is presented as an optimal control problem with one state vector variable and one control variable.  The optimal service rate is obtained explicitly under a general quadratic cost function.  Illustrative numerical examples are presented and the effect of the initial state distribution on the shape of the optimal solution is demonstrated.

: Queue; optimal control; predictive control; optimal design.

        ·     · ( pdf )